On Locally pre-C^{*}-Algebra Structures in Locally m-Convex H^{*}-Algebras

Authors: A. EL-KINANI

Abstract: We endow any locally m-convex H^{*}-algebra \left( E,\tau \right) with a locally pre-C^{*}-topology weaker than \tau. Examples and applications are provided.

Keywords: Locally pre- C^{*}-algebra, locally m-convex H^{*}-algebra, Q-algebra, positive semi-definite inner product.

Full Text: PDF